PL EN


Preferencje help
Widoczny [Schowaj] Abstrakt
Liczba wyników
2010 | 54 | 2 |
Tytuł artykułu

On subordination for classes of non-Bazilevic type

Treść / Zawartość
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
We give some subordination results for new classes of normalized analytic functions containing differential operator of non-Bazilevic type in the open unit disk. By using Jack’s lemma, sufficient conditions for this type of operator are also discussed.
Rocznik
Tom
54
Numer
2
Opis fizyczny
Daty
wydano
2010
online
2016-07-29
Twórcy
Bibliografia
  • Darus, M., Ibrahim, R. W., Coefficient inequalities for a new class of univalent functions, Lobachevskii J. Math. 29(4) (2008), 221-229.
  • Ibrahim, R. W., Darus, M., On subordination theorems for new classes of normalize analytic functions, Appl. Math. Sci. (Ruse) 2(56) (2008), 2785-2794.
  • Ibrahim, R. W., Darus, M., Subordination for new classes of non-Bazilevic type, UNRI-UKM Symposium, KE-4 (2008).
  • Ibrahim, R. W., Darus, M., Differential subordination results for new classes of the family \(\mathcal{E}(\Phi, \Psi)\), JIPAM. J. Ineq. Pure Appl. Math. 10(1) (2009), Art. 8, 9 pp.
  • Jack, I. S., Functions starlike and convex of order k, J. London Math. Soc. 3 (1971), 469-474 .
  • Miller, S. S., Mocanu, P. T., Differential Subordinantions. Theory and Applications, Monographs and Textbooks in Pure and Applied Mathematics, 225, Marcel Dekker, Inc., New York, 2000.
  • Miller, K. S., Ross, B., An Introduction to the Fractional Calculus and Fractional Differential Equations, John Wiley and Sons, Inc., New York, 1993.
  • Obradovic, M., A class of univalent functions, Hokkaido Math. J. 27(2) (1998), 329-335.
  • Raina, R. K., On certain class of analytic functions and applications to fractional calculus operator, Integral Transform. Spec. Funct. 5 (1997), 247-260.
  • Raina, R. K., Srivastava, H. M., A certain subclass of analytic functions associated with operators of fractional calculus, Comput. Math. Appl. 32 (1996), 13-19.
  • Shanmugam, T. N., Ravichangran, V. and Sivasubramanian, S., Differential sandwich theorems for some subclasses of analytic functions, Austral. J. Math. Anal. Appl. 3(1) (2006), 1-11.
  • Srivastava, H. M., Owa, S. (Eds.), Univalent Functions, Fractional Calculus, and Their Applications, Halsted Press, John Wiley and Sons, New York, Chichester, Brisbane, Toronto, 1989.
  • Srivastava, H. M., Owa, S. (Eds.), Current Topics in Analytic Function Theory, World Scientific Publishing Company, Singapore, New Jersey, London, Hong Kong, 1992.
  • Tuneski, N., Darus, M., Fekete-Szego functional for non-Bazilevic functions, Acta Math. Acad. Paedagog. Nyhazi. (N.S.) 18(2) (2002), 63-65.
  • Wang, Z., Gao, C. and Liao, M., On certain generalized class of non-Bazilevic functions, Acta Math. Acad. Paedagog. Nyhazi. (N.S.) 21(2) (2005), 147-154.
Typ dokumentu
Bibliografia
Identyfikatory
Identyfikator YADDA
bwmeta1.element.ojs-doi-10_17951_a_2010_54_2_49-60
JavaScript jest wyłączony w Twojej przeglądarce internetowej. Włącz go, a następnie odśwież stronę, aby móc w pełni z niej korzystać.